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Finding the Third Proportional to 74,328 and 159,000

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Solution

The third proportional to 74,328 and 159,000 is: 340,127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,328 : 159,000 = 159,000 : x
  2. Step 2: Convert to fraction form
    74,328/159,000 = 159,000/x
  3. Step 3: Cross multiply
    74,328x = 159,000 × 159,000
  4. Step 4: Simplify right side
    74,328x = 25,281,000,000
  5. Step 5: Solve for x
    x = 25,281,000,000/74,328
  6. Step 6: Final answer
    x = 340,127.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.